Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouville derivatives | Zendy

Javad Alidousti | Zendy; Reza Khoshsiar Ghaziani | Zendy; Ali Bayati Eshkaftaki | Zendy

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Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouville derivatives

Author(s) -

Javad Alidousti,

Reza Khoshsiar Ghaziani,

Ali Bayati Eshkaftaki

Publication year - 2017

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1510-5

Subject(s) - mathematics , nonlinear system , stability (learning theory) , fractional calculus , order (exchange) , mathematical analysis , riemann hypothesis , computer science , physics , finance , quantum mechanics , machine learning , economics

In this paper we establish stability theorems for nonlinear fractional orders systems (FDEs) with Caputo and Riemann–Liouville derivatives. In particular, we derive conditions for F -stability of nonlinear FDEs. By numerical simulations, we verify numerically our theoretical results on a test example.

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